Question

Use the GCF of the terms to write the expression as the product of two factors with integer coefficients.

-2x3 - 4x2 + 4x

Answer 1

What factor goes into all of these numbers?

Answer 2

2

Answer 3

That's one of them. What else?

Answer 4

1

Answer 5

x also goes into all of them

Answer 6

So the GCF is 2x

Answer 7

alright, so I need to make to seprate eqations with theb product of 2x?

Answer 8

Divide all of the numbers by your gcf

Answer 9

-2x3 - 4x2 + 4x

-1x1-2x1+2x

Answer 10

You got the coefficients right, -2x^3/2x = -1x^2

Answer 11

x(-2x2 + 2x - 2)

Answer 12

Also pull out the factor of two

Answer 13

A. x(-2x2 - 4x + 4)


B. -2x(x2 + 2x - 2)


C. x(-2x2 + 2x - 2)


D. -2x(-2x2 + 2x - 2)

Answer 14

If x(-2x^2 - 4x + 4)
2x(?)

Answer 15

If the problem were
3x^3 + 6x^2 + 9x


the GCF is 3x so we will factor out the GCF from all of the numbers

(3x)*x^2 + (3x)*2x + (3x)*3 = (3x)(x^2 + 2x + 3)

Answer 16

your so patient. I guess I just don't undestand. Ill read through again.

Answer 17

you can't devide three by two without leftovers.

Answer 18

Where did I divide three by two?

Answer 19

you didn't. NM

Answer 20

Well when we divide variables like x or x^2 we subtract the bottom power from the top one
\[\Large \frac{x^n}{x^m}= x^{n-m}\]
so if we divided x^3 by x we would get
\[\Large \frac{x^3}{x^1}=x^{3-1}=x^2\]

The distributive property says that if we have a number a, b, and c that
\[a(b+c)=ab+ac\]

So when we have something like 3x^3 + 6x^2 + 9x we divide each of the numbers by the gcf and put it on the outside

kind of like with ab + ac our gcf is 'a' so we put it on the outside a(b + c)

So
\[\Large \frac{3x^3}{3x} = x^2\]
\[\Large \frac{6x^2}{3x} = 2x\]
\[\Large \frac{9x}{3x} =3\]

When we put all of the numbers back after we have divided them by our gcf we get
\[\Large x^2 + 2x + 3\]
but we have to put the gcf on the outside so we end up with
\[\Large 3x(x^2 + 2x + 3)\]

Answer 21

So my answer sounld be \[2x(x^{2} + 2x - 2)\]

Answer 22

Yes, but it seems they used -2x as their gcf, put a negative in front of your 2x and you will have the correct answer

Answer 23

k (wipes sweat from brow) thanks lol

Answer 24

lol :D No problem

Good job